Nonequilibrium superoperator Green's function approach to inelastic resonances in STM currents

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 20, 2006, Pages

  Harbola, Upendra ^a   Maddox, Jeremy ^a   Mukamel, Shaul ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646337699     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.205404     Document Type: Article

References (63)

1. H. Ohtani, R. J. Wilson, S. Chiang, and C. M. Mate, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.2398 60, 2398 (1988).
2. A. R. H. Clarke, J. B. Pethica, J. A. Nieminen, F. Besenbacher, E. Laegsgaard, and I. Stansgaard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1276 76, 1276 (1996).
3. W. Ho, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1521153 117, 11033 (2002).
4. B. C. Stipe, M. A. Rezaei, and W. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1724 82, 1724 (1999);
5. B. C. Stipe, M. A. Rezaei, and W. Ho, Science SCIEAS 0036-8075 10.1126/science.280.5370.1732 280, 1732 (1998).
6. D. M. Eigler, C. P. Lutze, and W. E. Rdtze, Nature (London) NATUAS 0028-0836 10.1038/352600a0 352, 600 (1991).
7. R. E. Walkup, D. M. Newns, and Ph. Avouris, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.1858 48, 1858 (1993).
8. S. Gao, M. Persson, and B. I. Landqvist, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(92)90119-T 84, 271 (1992).
9. M. Di Ventra and S. T. Pantelides, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.R5320 59, R5320 (1999).
10. J. M. Blanco, C. Gonzalez, P. Jelinek, J. Ortega, F. Flores, and R. Perez, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.085405 70, 085405 (2004).
11. W. A. Hofer, A. S. Foster, and A. L. Shluger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.1287 75, 1287 (2003).
12. Y. Xue and M. A. Ratner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.085403 69, 085403 (2004);
13. Y. Xue and M. A. Ratner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.115406 68, 115406 (2003);
14. Y. Xue and M. A. Ratner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.115407 68, 115407 (2003);
15. Y. Xue, S. Datta, and M. R. Ratner, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(02)00446-9 281, 151 (2002).
16. J. Tersoff and D. R. Hamann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.1998 50, 1998 (1983);
17. J. Tersoff and D. R. Hamann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.805 31, 805 (1985).
18. M. H. Cohen, L. M. Filcov, and J. C. Phillips, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.8.316 8, 316 (1962).
19. J. Bardeen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.6.57 6, 57 (1961).
20. P. Sautet and C. Joachim, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(91)80133-I 185, 23 (1991).
21. N. D. Lang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.230 55, 230 (1985);
22. N. D. Lang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.1164 56, 1164 (1986);
23. N. D. Lang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.13599 45, 13599 (1992).
24. P. Sautet and C. Joachim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.12238 38, 12238 (1988).
25. J. Cerda, M. A. Van Hove, P. Sautet, and M. Salmeron, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.15885 56, 15885 (1997).
26. M. Buttiker, Y. Imry, R. Landauer, and S. Pinhas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.6207 31, 6207 (1985).
27. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1997).
28. B. J. LeRoy, S. G. Lemay, J. Kong, and C. Dekker, Nature (London) NATUAS 0028-0836 10.1038/nature03046 432, 371 (2004).
29. M. Grobis, K. H. Khoo, R. Yamachika, X. Lu, K. Nagaoka, S. G. Louie, M. F. Crommie, H. Koto, and H. Shinohara, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.136802 94, 136802 (2005).
30. S. Braig, K. Flensberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.205324 68, 205324 (2003).
31. W. A. Hofer, A. J. Fisher, R. A. Wolkow, and P. Grutter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.236104 87, 236104 (2001).
32. T. Frederiksen, M. Brandbyge, N. Lorente, and A.-P. Jauho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.256601 93, 256601 (2004).
33. Y. Asai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.246102 93, 246102 (2004);
34. Y. Asai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.099901 94, 099901 (E) (2005).
35. J. Schwigner, J. Math. Phys. JMAPAQ 0022-2488 2, 1018 (1961).
36. L. V. Keldysh, Sov. Phys. J. SOPJAQ 0038-5697 20, 1018 (1965).
37. H. Haug and A.-P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors (Springer, Berlin, 1996).
38. C. Caroli, R. Combescot, P. Noziéres, and D. S.-James, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/1/006 5, 21 (1972).
39. M. Galperin, M. A. Ratner, and A. Nitzan, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1814076 121, 11965 (2004).
40. S. Tikhodeev, M. Natario, K. Makoshi, T. Mii, and H. Ueba, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(01)01190-6 493, 63 (2001).
41. T. Mii, S. G. Tikhodeev, and H. Ueba, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.205406 68, 205406 (2003).
42. N. Lorente and M. Persson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2997 85, 2997 (2000);
43. N. Lorente and M. Persson, Faraday Discuss. FDISE6 0301-7249 10.1039/b002826f 117, 277 (2000);
44. N. Lorente, M. Persson, L. J. Lauhon, and W. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2593 86, 2593 (2001).
45. S. Mukamel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.021111 68, 021111 (2003).
46. V. Chernyak, N. Wang, and S. Mukamel, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(95)00015-1 263, 213 (1995).
47. O. Berman and S. Mukamel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.155430 69, 155430 (2004).
48. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
49. U. Harbola and S. Mukamel, Superoperator Many-Body Theory of Molecular Currents: Non-Equilibrium Green's Functions in Real Time, Chap., in Theory and Applications of Computational Chemistry, edited by, C. Dykstra,, (Elsevier, New York, 2005).
50. A. E. Cohen and S. Mukamel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.233202 91, 233202 (2003);
51. A. E. Cohen and S. Mukamel, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp022303g 107, 3633 (2003).
52. U. Harbola and S. Mukamel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052506 70, 052506 (2004).
53. S. Mukamel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.024503 71, 024503 (2005).
54. A. D. McLachlan, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 271, 387 (1963);
55. A. D. McLachlan, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 274, 80 (1963).
56. M. Galperin, A. Nitzan, S. Sek, and M. Majda, J. Electroanal. Chem. JECHES 0022-0728 10.1016/S0022-0728(03)00067-6 550, 337 (2003).
57. A. Nitzan, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.52.1.681 52, 681 (2001).
58. M. Schmutz, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01323673 30, 97 (1978).
59. U. Harbola and S. Mukamel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2161177 124, 044106 (2006).
60. S. W. Wu, G. Nazin, X. Chen, X. H. Qiu, and W. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.236802 93, 236802 (2004).
61. M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, J. A. Montgomery, Jr., T. Vreven, K. N. Kudin, J. C. Burant, GAUSSIAN 03, Revision C.02 (Gaussian, Inc., Wallingford, CT, 2004).
62. N. Sergueev, D. Roubtsov, and H. Guo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.146803 95, 146803 (2005).
63. S.-H. Ke, H. U. Baranger, and W. Yang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.085410 70, 085410 (2004).